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Finding the Fourth Proportional to 34,074.97, 51,113 and 10,383.01

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Solution

The fourth proportional to 34,074.97, 51,113 and 10,383.01 is: 15,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.97 : 51,113 = 10,383.01 : x
  2. Step 2: Convert to fraction form
    34,074.97/51,113 = 10,383.01/x
  3. Step 3: Cross multiply
    34,074.97x = 51,113 × 10,383.01
  4. Step 4: Simplify right side
    34,074.97x = 530,706,790.13
  5. Step 5: Solve for x
    x = 530,706,790.13/34,074.97
  6. Step 6: Final answer
    x = 15,574.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.